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Finding the Fourth Proportional to 976.68, 1,461.87 and 683.82

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Solution

The fourth proportional to 976.68, 1,461.87 and 683.82 is: 1,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,461.87 = 683.82 : x
  2. Step 2: Convert to fraction form
    976.68/1,461.87 = 683.82/x
  3. Step 3: Cross multiply
    976.68x = 1,461.87 × 683.82
  4. Step 4: Simplify right side
    976.68x = 999,655.94
  5. Step 5: Solve for x
    x = 999,655.94/976.68
  6. Step 6: Final answer
    x = 1,023.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.